Calculation of Higgs Self-Coupling Constant for One-Loop and Two-Loop Effective Potentials and Their Perturbative Validity

Partha Pratim Pal

doi:doi:10.11648/j.ajpa.20150302.18

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Calculation of Higgs Self-Coupling Constant for One-Loop and Two-Loop Effective Potentials and Their Perturbative Validity

Partha Pratim Pal

Published in American Journal of Physics and Applications (Volume 3, Issue 2)

Received: 4 March 2015 Accepted: 18 March 2015 Published: 24 March 2015

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Abstract

Although the Standard Model has been very successful in explaining the present data, it is unable to express the value of Higgs self coupling constant. It is a free parameter of the theory. Recently a Higgs like particle is reported to be discovered at CMS and ATLAS experiments at CERN LHC with a mass of about 125 GeV. The purpose of this paper is to calculate the value of Higgs self coupling constant in the Standard Model for one and two-loops Higgs potential. Considering the value of Higgs mass as 125 GeV we obtain the value of Higgs self coupling constant as 0.1373 for both one and two-loops Higgs potential. We also find that the condition for perturbative validity given by Miller is satisfied, when the Higgs mass is calculated perturbatively from the effective potential given by the massless φ^4 theory at one and two-loop level.

Published in	American Journal of Physics and Applications (Volume 3, Issue 2)
DOI	10.11648/j.ajpa.20150302.18
Page(s)	63-66
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

Standard Model, Higgs Self-Coupling Constant, LHC, Perturbative Validity

References

[1]	S. L. Glashow, 1961 Nucl. phys. 22, 579; A. Salam, 1968, in Elementary Particle Theory, Almquist and Forlag, Stockholm; A. Salam and J. C. Ward, 1964 Phys. Lett, 13, 168; S. Weinberg, 1967 Phys. Rev. Lett. 19, 1264; Cheng T. P. and Li L.F., Gauge Theory Of Elementary Particle Physics, Clarendon Press, Oxford, 1984. P396.
[2]	Higgs P.W. (1964) Phys. Rev. Lett. 12, 132; (1966) Phys. Rev. 145, 1156
[3]	Englert F and Brout R 1964 Phys.Rev.Lett.13, 321; Guralnik G S, Hagen C R and Kibble T W B 1964 Phys.Rev.Lett. 13, 585.
[4]	LEP Higgs Working Group, CERN – EP / 2001-055; Abbiendi, G, Phys.Lett.B565 (2003)61; Review of Higgs Physics at the LHC, V. Drollinger, hep-ph/0405026, 2004.
[5]	Large Hadron Collider-Wikipedia, the free encyclopaedia en.wikipedia.org/wiki/Large-Hadron-Higgs-like Particle Discovered at CERN; Kane G,Pierce A(ed)2008 Perspective on LHC physics (Singapore:World Science)
[6]	Coleman S. and Weinberg E. (1973) Phys. Rev. D7, 1888
[7]	Weinberg S. (1979) Phys. Lett. 82B, 387
[8]	Linde A. D. (1976) Sov. Phys. JETPLett. 23, 64; Weinberg S. (1976) Phys. Rev. Lett. 36, 294.
[9]	Miller Robert D C (1983). J.Phys. G ,Nucl .Phys. 9 , 697
[10]	Sher M, Phys. Rep. (1989) 179, 299.

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Partha Pratim Pal. (2015). Calculation of Higgs Self-Coupling Constant for One-Loop and Two-Loop Effective Potentials and Their Perturbative Validity. American Journal of Physics and Applications, 3(2), 63-66. https://doi.org/10.11648/j.ajpa.20150302.18

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ACS Style

Partha Pratim Pal. Calculation of Higgs Self-Coupling Constant for One-Loop and Two-Loop Effective Potentials and Their Perturbative Validity. Am. J. Phys. Appl. 2015, 3(2), 63-66. doi: 10.11648/j.ajpa.20150302.18

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AMA Style

Partha Pratim Pal. Calculation of Higgs Self-Coupling Constant for One-Loop and Two-Loop Effective Potentials and Their Perturbative Validity. Am J Phys Appl. 2015;3(2):63-66. doi: 10.11648/j.ajpa.20150302.18

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@article{10.11648/j.ajpa.20150302.18,
  author = {Partha Pratim Pal},
  title = {Calculation of Higgs Self-Coupling Constant for One-Loop and Two-Loop Effective Potentials and Their Perturbative Validity},
  journal = {American Journal of Physics and Applications},
  volume = {3},
  number = {2},
  pages = {63-66},
  doi = {10.11648/j.ajpa.20150302.18},
  url = {https://doi.org/10.11648/j.ajpa.20150302.18},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20150302.18},
  abstract = {Although the Standard Model has been very successful in explaining the present data, it is unable to express the value of Higgs self coupling constant. It is a free parameter of the theory. Recently a Higgs like particle is reported to be discovered at CMS and ATLAS experiments at CERN LHC with a mass of about 125 GeV. The purpose of this paper is to calculate the value of Higgs self coupling constant in the Standard Model for one and two-loops Higgs potential. Considering the value of Higgs mass as 125 GeV we obtain the value of Higgs self coupling constant as 0.1373 for both one and two-loops Higgs potential. We also find that the condition for perturbative validity given by Miller is satisfied, when the Higgs mass is calculated perturbatively from the effective potential given by the massless φ^4 theory at one and two-loop level.},
 year = {2015}
}

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TY  - JOUR
T1  - Calculation of Higgs Self-Coupling Constant for One-Loop and Two-Loop Effective Potentials and Their Perturbative Validity
AU  - Partha Pratim Pal
Y1  - 2015/03/24
PY  - 2015
N1  - https://doi.org/10.11648/j.ajpa.20150302.18
DO  - 10.11648/j.ajpa.20150302.18
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 63
EP  - 66
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20150302.18
AB  - Although the Standard Model has been very successful in explaining the present data, it is unable to express the value of Higgs self coupling constant. It is a free parameter of the theory. Recently a Higgs like particle is reported to be discovered at CMS and ATLAS experiments at CERN LHC with a mass of about 125 GeV. The purpose of this paper is to calculate the value of Higgs self coupling constant in the Standard Model for one and two-loops Higgs potential. Considering the value of Higgs mass as 125 GeV we obtain the value of Higgs self coupling constant as 0.1373 for both one and two-loops Higgs potential. We also find that the condition for perturbative validity given by Miller is satisfied, when the Higgs mass is calculated perturbatively from the effective potential given by the massless φ^4 theory at one and two-loop level.
VL  - 3
IS  - 2
ER  -

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Author Information

Partha Pratim Pal

Bolpur Sikshaniketan Ashram Vidyalaya, West Bengal, Bolpur, Birbhum, India

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APA Style

Partha Pratim Pal. (2015). Calculation of Higgs Self-Coupling Constant for One-Loop and Two-Loop Effective Potentials and Their Perturbative Validity. American Journal of Physics and Applications, 3(2), 63-66. https://doi.org/10.11648/j.ajpa.20150302.18

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ACS Style

Partha Pratim Pal. Calculation of Higgs Self-Coupling Constant for One-Loop and Two-Loop Effective Potentials and Their Perturbative Validity. Am. J. Phys. Appl. 2015, 3(2), 63-66. doi: 10.11648/j.ajpa.20150302.18

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AMA Style

Partha Pratim Pal. Calculation of Higgs Self-Coupling Constant for One-Loop and Two-Loop Effective Potentials and Their Perturbative Validity. Am J Phys Appl. 2015;3(2):63-66. doi: 10.11648/j.ajpa.20150302.18

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@article{10.11648/j.ajpa.20150302.18,
  author = {Partha Pratim Pal},
  title = {Calculation of Higgs Self-Coupling Constant for One-Loop and Two-Loop Effective Potentials and Their Perturbative Validity},
  journal = {American Journal of Physics and Applications},
  volume = {3},
  number = {2},
  pages = {63-66},
  doi = {10.11648/j.ajpa.20150302.18},
  url = {https://doi.org/10.11648/j.ajpa.20150302.18},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20150302.18},
  abstract = {Although the Standard Model has been very successful in explaining the present data, it is unable to express the value of Higgs self coupling constant. It is a free parameter of the theory. Recently a Higgs like particle is reported to be discovered at CMS and ATLAS experiments at CERN LHC with a mass of about 125 GeV. The purpose of this paper is to calculate the value of Higgs self coupling constant in the Standard Model for one and two-loops Higgs potential. Considering the value of Higgs mass as 125 GeV we obtain the value of Higgs self coupling constant as 0.1373 for both one and two-loops Higgs potential. We also find that the condition for perturbative validity given by Miller is satisfied, when the Higgs mass is calculated perturbatively from the effective potential given by the massless φ^4 theory at one and two-loop level.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Calculation of Higgs Self-Coupling Constant for One-Loop and Two-Loop Effective Potentials and Their Perturbative Validity
AU  - Partha Pratim Pal
Y1  - 2015/03/24
PY  - 2015
N1  - https://doi.org/10.11648/j.ajpa.20150302.18
DO  - 10.11648/j.ajpa.20150302.18
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 63
EP  - 66
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20150302.18
AB  - Although the Standard Model has been very successful in explaining the present data, it is unable to express the value of Higgs self coupling constant. It is a free parameter of the theory. Recently a Higgs like particle is reported to be discovered at CMS and ATLAS experiments at CERN LHC with a mass of about 125 GeV. The purpose of this paper is to calculate the value of Higgs self coupling constant in the Standard Model for one and two-loops Higgs potential. Considering the value of Higgs mass as 125 GeV we obtain the value of Higgs self coupling constant as 0.1373 for both one and two-loops Higgs potential. We also find that the condition for perturbative validity given by Miller is satisfied, when the Higgs mass is calculated perturbatively from the effective potential given by the massless φ^4 theory at one and two-loop level.
VL  - 3
IS  - 2
ER  -

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